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GeoGebraClasse GeoGebra

Parallel or Not? (V2)

Here, we have a picture of two lines that never intersect.

Here, we have a picture of two lines that never intersect.

Would you say the lines shown above are parallel? What do you think? Explain why or why not.

The two lines shown below never intersect. Move any one (or more) of the 3 points to make them "look" parallel to each other.

What do you notice now?

The two lines shown below never intersect. Move any one (or more) of the 3 points to make them look parallel to each other.

The two lines shown below never intersect. Move any one (or more) of the 3 points to make them look like they are NOT PARALLEL.

Without Googling, how would you describe what it means for lines to be parallel?

Any pairs of lines above that do not intersect and do not look parallel are said to be skew lines. Without Googling, how would you describe what it means for lines to be skew?